Categorical Propositions Exam 3 Flashcards
Relate Subject terms to predicate terms
(Connecting who or what the sentence is about to what they are doing)
Categorical Proposition
represents a person, thing, or concept (What or who the sentence is about)
Subject Term
What is said about the subject of the sentence
Predicate term
All S are P
No S are P
Some S are P
Some S are not P
Four types of categorical propositions
Word like “All” or “Some” are…
quantifier
Links the subject and predicate terms
copula
Always has a subject term that is a noun or noun phrase, a predicate term that is a noun or phrase, with a quantifier (All, no, or some), and a copula linking the subject and predicate terms (Are or are not)
standard form
Affirmative quality (“All” or “Some”) or Negative quality (“No” or “Some”) affirms or denies class membership of a categorical proposition
quality (categorical propositions)
Universal quality (“All” or “No”) or Particular quality (“Some”) of a categorical proposition
quantity (categorical proposition)
The statement applies to every member of the group it talks about (Applies to terms, not to propositions)
Distribution (categorical proposition)
A : Universal affirmative (S distributed)
E : Universal negative (S and P distributed)
I : Particular affirmative (S and P undistributed)
O: Particular negative(P distributed)
Letter names of the four categorical propositions
Statements or claims that can be either true or false
Propositions
Two perspectives : Aristotelean and Boolean.
Existential import
Using universal statements “All” or “No” implies that the subject of the statement exists
Aristotelian standpoint
developed by John Venn to represent the information expressed by categorical propositions
Venn Diagram
Something is true because there is nothing there that makes it is false.
Vacuously True
Something is wrong because there is nothing to make it true
Vacuously False
drawing a conclusion from one proposition without a lot of steps or complex reasoning. (“All cats have tails” conclusion “Some cats have tails”)
Immediate Inference
Saying something about an entire group as if it is real but no one knows if it is real or not.
Existential fallcy
When the subject and predicate switch places
Conversion
When the quality (Affirmative or negative) is changed and the predicate term is replace with its complement it is…
Observsion
When the subject and predicate switch places and replace each with its term compliment. (All horses are animals; all non-animals are non-horses)
Contraposition
When the subject and predicate switch places (No cats are dogs; No dogs are cats)
Converse statement
when the converse of an A,E,I, or O statement is mistakenly assumed to be true when it has invalid logic.
Fallacy of illicit conversion